(1217)8 is equivalent to
2009
(1217)8 is equivalent to
- A.
(1217)16
- B.
(028F)16
- C.
(2297)10
- D.
(0B17)16
Attempted by 812 students.
Show answer & explanation
Correct answer: B
Key idea: convert the octal number to decimal, then convert that decimal to hexadecimal.
Step 1: Convert (1217)_8 to decimal: 1*8^3 + 2*8^2 + 1*8 + 7 = 512 + 128 + 8 + 7 = 655.
Step 2: Convert 655 to base 16 by repeated division: 655 ÷ 16 = 40 remainder 15 (F); 40 ÷ 16 = 2 remainder 8; 2 ÷ 16 = 0 remainder 2. Reading remainders from last to first gives 28F, so 655 = (28F)_16.
Final answer: (1217)_8 = (28F)_16 (the leading zero in (028F)_16 is optional).
A video solution is available for this question — log in and enroll to watch it.